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What is the length of the tangent line from the point 9 0 to the circle x2 plus 8x plus y2 -9 equals 0?
Wiki User
∙ 6y ago
Equation of circle: x^2 +8x +y^2 -9 = 0
Completing the square: (x+4)^2 +y^2 = 25
Radius of circle: 5
Center of circle: (-4, 0)
Distance from (9, 0) to (-4, 0) = 13 which is the hypotenuse of a right angle triangle
Using Pythagoras: 13^2 -5^2 = 144 and its square root is 12
Therefore the length of the tangent line is 12 units
Note that the tangent line of a circle meets the radius of the circle at right angles
Wiki User
∙ 6y ago
Wiki User
∙ 6y agoThe length is 12 units.
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Tangent of a circle is what?
A tangent of a circle is a straight line that touches the circle at only one point.
Definition of tangent in a circle?
A tangent to a circle is a line from a point outside the circles which touches the circle at a single point.
Point of intersection between a tangent and circle?
A line tyhat's tangent to a circle intersects the circle in exactly one single point. The radius drawn to that point is perpendicular to the tangent.
What is the point at which the tangent intersects the circle?
The tangent line intersects the circumference of a circle at just one point.
How do you find the tangent of a circle?
a tangent is a line that touches the circle at only ONE point
Theorem Length of tangent drawn from external point to a circle are equal?
e
Tangent of a circle is what?
A tangent of a circle is a straight line that touches the circle at only one point.
Definition of tangent in a circle?
A tangent to a circle is a line from a point outside the circles which touches the circle at a single point.
Point of intersection between a tangent and circle?
A line tyhat's tangent to a circle intersects the circle in exactly one single point. The radius drawn to that point is perpendicular to the tangent.
What is tangent line?
tan A = (sin A) / (cos A) tan (A)= opposite side length/adjacent side length A is an angle measurement; amount of degrees or radians. If a line is tangent to a curve, it only touches the curve at one point. looks like )| but the line is touching the curve. In a circle, the tangent line touches the circle at one point and is perpinducular to the circle's radius if it is touching that same point.
A line that intersects a circle at exactly one point?
Such a line is called a tangent line or a tangent to the circle. [Tangent is Latin for touching-- a tangent line touches the circle at just one point. ]
What is the point at which the tangent intersects the circle?
The tangent line intersects the circumference of a circle at just one point.
The point where the tangent line intersects a circle?
A tangent line touches the circumference of a circle at just one point but it does not intersect the circle.
What is the tangent of a circle?
A tangent is a straight line that touches a circle's circumference at one point
How many tangents can be drawn to a circle containing a point inside a circle?
No tangent No tangent
How do you find the tangent of a circle?
a tangent is a line that touches the circle at only ONE point
Is the tangent of a circle its radius?
No, a tangent is a line that intersects a circle at exactly one point. The radius of a circle is the distance from the center of the circle to any point on the perimeter of the circle.
